Question

Solve for x, given the equation Square root of x minus 5 + 7 = 11.

Answer 1

X= 9 is the answer to this question

Answer 2

Answer: The required solution is x = 21.

Step-by-step explanation: We are given to solve the following equation for x :

"Square root of x minus 5 + 7 = 11."

The given equation can be written and solved as follows :

`√(x-5)+7=11\\\\\Rightarrow √(x-5)=11-7\\\\\Rightarrow √(x-5)=4\\\\\Rightarrow x-5=4^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow x-5=16\\\\\Rightarrow x=16+5\\\\\Rightarrow x=21.`

Thus, the required solution is x = 21.